Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th his check book shows a balance of $87.37 as of March 20th. the bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25 how much did Carlos deposit in his account between the March 15th and the March 20th.A. $125.87
B. $11.22
C. $162.37
D. $48.87
Answers
Answer:
$48.87
Step-by-step explanation:
Let the deposited amount between the March 15th and the March 20th be x
Balance on 15th march = $56.75
The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25
And he also deposited x amount
After deposits and deductions
So, balance = 56.75 +x - (13.25+5)
The new balance on 20th march = $87.37
⇒
⇒
⇒
⇒
⇒
Hence Carlos deposited $48.87 in his account between the March 15th and the March 20th.
Add: Deposit x
Less: Outstanding check 18.25 ⇒ 5 + 13.25
March 20 balance: 87.37
56.75 + x - 18.25 = 87.37
x = 87.37 - 56.75 + 18.25
x = 48.87 CHOICE D.
Outstanding checks are issued checks that are not yet deducted from the account.
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A study is done on the population of a certain fish species in a lake. Suppose that the population size P(t) after t years is given by the following exponential function. P(t)=280(1.29)^t Find the initial population size? does the function represent growth or decay?By what percentage does the population change each year?
Answers
Answer:
(78, 80)
Step-by-step explanation:
Given a normal distribution :
Mean = 79 seconds
Standard deviation = 0.5 seconds
Using the empirical rule :
95% of her finishing times :
According to the empirical rule, 95% represents 2 standard deviations from the mean that is ± 2 standard deviations from the mean score or value.
Hence ;
The interval will be defined as ;
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79 ± 2(0.5)
79 ± 1
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Answers
Answer:
680, hope this helps!
Answers
A.5
B.2
C.–2
D.–5
Answers
= x^2 - 4x + 4 - 4 - 5
= (x^2 - 4x + 4) -4 - 5
y = (x-2)^2 - 9 Here, the vertex is at (2, -9)
2. x = 2 (the vertical line that goes through the vertex)
3. The graph of this function is called a parabola. To graph a parabola, use
its vertex (in this case, (2, -9) ) and y-intercept (y = -5). The y-intercept is the constant in the given equation. Use the fact that the vertical line through the vertex is a line of symmetry. Plot the point corresponding to the y-intercept that lies on the other side of the vertical line x = 2.
4. The graph is translated 2 units to the right and 9 units down.
Answer:
The answer is B.) 2
(on e2020)
Answers
Final answer:
The growth factor associated with a 30% decrease is -0.3.
Explanation:
The growth factor associated with a 30% decrease can be calculated by subtracting the growth rate percentage from 100% and converting it into a decimal. Since a decrease is a negative growth, the growth factor would be -0.3.
Learn more about growth factor here:
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8 yellow tiles
15 pink tiles
Without looking in the box, Amy takes out a tile at random. She then replaces the tile and takes out another tile from the box. What is the probability that Amy takes out a yellow tile in both draws?
8 over 35 multiplied by 7 over 34 equal 56 over 1190
8 over 35 multiplied by 8 over 35 equal 64 over 1225
8 over 35 plus 7 over 34 equal 517 over 1190
8 over 35 plus 8 over 35 equal 560 over 1225
Answers
The probability that Amy takes out a yellow tile in both draws is : ( B ) 8 over 35 multiplied by 8 over 35 equals 64 over 1225
Meaning of probability
probability is the likelihood of an event occuring or not,two or more events can occur simultaneously and we call that independent events and when one event depend on another event for occurrence we say mutually exclusive.
The question here is a mutually exclusive probability as the picking of the yellow tiles depend on how many times she will dip her hand for the draw.
Given data
red tiles = 12
yellow tiles = 8
pink tiles = 15
total tiles = 35
Probability of picking yellow balls and replacing after a pick is = 8 over 35 multiplied by 8 over 35 which equals 64 over 1225.
In conclusion , the probability of picking yellow balls and replacing after a pick is = 8 over 35 multiplied by 8 over 35 which equals 64 over 1225.
learn more about probability : brainly.com/question/24756209
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35 35 1225
or about 5.2% chance